Question

y = \frac{1}{5}x - 2

x	y
-10	\square
-5	\square
0	\square
5	\square
10	\square

Explanation:

Step1: Substitute x = -10 into the equation

We have the equation \( y = \frac{1}{5}x - 2 \). Substitute \( x = -10 \) into it:
\( y = \frac{1}{5} \times (-10) - 2 \)

Step2: Calculate the value

First, calculate \( \frac{1}{5} \times (-10) = -2 \). Then, \( -2 - 2 = -4 \).

For \( x = -5 \):

Step1: Substitute x = -5 into the equation

\( y = \frac{1}{5} \times (-5) - 2 \)

Step2: Calculate the value

\( \frac{1}{5} \times (-5) = -1 \), then \( -1 - 2 = -3 \).

For \( x = 0 \):

Step1: Substitute x = 0 into the equation

\( y = \frac{1}{5} \times 0 - 2 \)

Step2: Calculate the value

\( \frac{1}{5} \times 0 = 0 \), then \( 0 - 2 = -2 \).

For \( x = 5 \):

Step1: Substitute x = 5 into the equation

\( y = \frac{1}{5} \times 5 - 2 \)

Step2: Calculate the value

\( \frac{1}{5} \times 5 = 1 \), then \( 1 - 2 = -1 \).

For \( x = 10 \):

Step1: Substitute x = 10 into the equation

\( y = \frac{1}{5} \times 10 - 2 \)

Step2: Calculate the value

\( \frac{1}{5} \times 10 = 2 \), then \( 2 - 2 = 0 \).

Answer:

When \( x = -10 \), \( y = -4 \); when \( x = -5 \), \( y = -3 \); when \( x = 0 \), \( y = -2 \); when \( x = 5 \), \( y = -1 \); when \( x = 10 \), \( y = 0 \)

Filling the table:

x	y
-5	-3
0	-2
5	-1
10	0